Answer:
15
Step-by-step explanation:
Calculation for What is a reasonable estimate of the number of gallons of gas Karl used
Estimated number of gallons used=619.5 miles/41 miles
Estimated number of gallons used=15
Therefore the reasonable estimate of the number of gallons of gas Karl used is 15
Answer:
how is this mathematics lol
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
_____
You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
Answer:
45
Step-by-step explanation:
x - 7 = 38
add 7 to both sides to get the variable by itself
x = 45
